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Kähler classes on universal moduli spaces and volumina of Quot spaces


Okonek, Christian; Teleman, Andrei (2015). Kähler classes on universal moduli spaces and volumina of Quot spaces. Journal of Geometry and Physic, 96:81-106.

Abstract

We study canonical Kähler metrics on moduli spaces of stable oriented pairs in a very general framework, and we prove a universal formula expressing the Kähler class of such a moduli space in terms of characteristic classes of the universal bundle. We use these results to compute the volumina of certain Quot spaces.

Abstract

We study canonical Kähler metrics on moduli spaces of stable oriented pairs in a very general framework, and we prove a universal formula expressing the Kähler class of such a moduli space in terms of characteristic classes of the universal bundle. We use these results to compute the volumina of certain Quot spaces.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:October 2015
Deposited On:28 Jan 2016 07:26
Last Modified:30 Aug 2017 18:19
Publisher:Elsevier
ISSN:0393-0440
Publisher DOI:https://doi.org/10.1016/j.geomphys.2015.06.004

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